Finding the Third Proportional to 343 and 846
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Solution
The third proportional to 343 and 846 is: 2,086.64
Step by Step Solution
- Step 1: Write the proportion equation
343 : 846 = 846 : x - Step 2: Convert to fraction form
343/846 = 846/x - Step 3: Cross multiply
343x = 846 × 846 - Step 4: Simplify right side
343x = 715,716 - Step 5: Solve for x
x = 715,716/343 - Step 6: Final answer
x = 2,086.64
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Why These Related Problems?
These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.